1
GATE EE 2022
+1
-0.33

The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is $$-$$180$$^\circ$$. This system has

A
one LHP pole and one RHP zero at the same frequency.
B
one LHP pole and one LHP zero at the same frequency.
C
two LHP poles and one RHP zero.
D
two RHP poles and one LHP zero.
2
GATE EE 2022
+1
-0.33

The open loop transfer function of a unity gain negative feedback system is given by $$G(s) = {k \over {{s^2} + 4s - 5}}$$. The range of k for which the system is stable, is

A
k > 3
B
k < 3
C
k > 5
D
k < 5
3
GATE EE 2022
+1
-0.33

An LTI system is shown in the figure where $$G(s) = {{100} \over {{s^2} + 0.1s + 100}}$$. The steady state output of the system, to the input r(t), is given as y(t) = a + b sin(10t + $$\theta$$). The values of a and b will be

A
a = 1, b = 10
B
a = 10, b = 1
C
a = 1, b = 100
D
a = 100, b = 1
4
GATE EE 2022
+1
-0.33

The open loop transfer function of a unity gain negative feedback system is given as

$$G(s) = {1 \over {s(s + 1)}}$$

The Nyquist contour in the s-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclements of the point ($$-$$1 + j0) by the Nyquist plot of G(s), corresponding to the Nyquist contour, is denoted as N. Then N equals to

A
0
B
1
C
2
D
3
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